AUSTIN — After a month of back-and-forth, the state’s candidates for governor have agreed to debate in Austin on September 28, according to Democratic gubernatorial hopeful Lupe Valdez.

She and Republican Gov. Greg Abbott had been at odds over the event’s timing, with Valdez pushing for a Monday in October that she said wouldn’t clash with Friday night football schedules. Abbott agreed in July to participate in the September televised debate hosted by Nexstar Media Group.

In a written statement, Valdez took credit for ensuring the debate includes a Spanish language media partner to broadcast, moderate and translate. She said she is pressing for more.

“I am keeping my word and am going to debate Abbott, but if he genuinely believes in representing all Texans, I strongly suggest he agree to an in-studio audience and Spanish questions,” said Valdez, the former sheriff of Dallas County, in a statement.

But a spokesman for Abbott, who is seeking a second four-year term, said neither the campaign nor the hosts of the debate have given any concessions.

“This is another instance of Lupe Valdez being liberal with the truth,” said Abbott campaign spokesman John Wittman in a statement. The campaign agreed in July that Telemundo would broadcast and carry the debate, he said.

Abbott has a double-digit lead in the race according to two polls released early this month, one conducted by the nonprofit Texas Lyceum and the other by Quinnipiac University.